The Robust Multigrid Technique : : For Black-Box Software / / Sergey I. Martynenko.
This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential...
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Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017 |
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2017] ©2017 |
Year of Publication: | 2017 |
Language: | English |
Online Access: | |
Physical Description: | 1 online resource (XIII, 198 p.) |
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100 | 1 | |a Martynenko, Sergey I., |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
245 | 1 | 4 | |a The Robust Multigrid Technique : |b For Black-Box Software / |c Sergey I. Martynenko. |
264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2017] | |
264 | 4 | |c ©2017 | |
300 | |a 1 online resource (XIII, 198 p.) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
347 | |a text file |b PDF |2 rda | ||
505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Acknowledgments -- |t Contents -- |t Notation -- |t 1. Introduction to multigrid -- |t 2. Robust multigrid technique -- |t 3. Parallel multigrid methods -- |t 4. Applications of multigrid methods in computational fluid dynamics -- |t Bibliography -- |t Index |
506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
520 | |a This book presents a detailed description of a robust pseudomultigrid algorithm for solving (initial-)boundary value problems on structured grids in a black-box manner. To overcome the problem of robustness, the presented Robust Multigrid Technique (RMT) is based on the application of the essential multigrid principle in a single grid algorithm. It results in an extremely simple, very robust and highly parallel solver with close-to-optimal algorithmic complexity and the least number of problem-dependent components. Topics covered include an introduction to the mathematical principles of multigrid methods, a detailed description of RMT, results of convergence analysis and complexity, possible expansion on unstructured grids, numerical experiments and a brief description of multigrid software, parallel RMT and estimations of speed-up and efficiency of the parallel multigrid algorithms, and finally applications of RMT for the numerical solution of the incompressible Navier Stokes equations. Potential readers are graduate students and researchers working in applied and numerical mathematics as well as multigrid practitioners and software programmers. ContentsIntroduction to multigridRobust multigrid techniqueParallel multigrid methodsApplications of multigrid methods in computational fluid dynamics | ||
538 | |a Mode of access: Internet via World Wide Web. | ||
546 | |a In English. | ||
588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) | |
650 | 0 | |a Boundary value problems. | |
650 | 0 | |a Numerical analysis. | |
650 | 0 | |a Uncertainty |x Mathematical models. | |
650 | 4 | |a Blackbox. | |
650 | 4 | |a Diskretisierung. | |
650 | 4 | |a Mehrgitterverfahren. | |
650 | 4 | |a Numerische Strömungssimulation. | |
650 | 4 | |a Randwertproblem. | |
650 | 7 | |a MATHEMATICS / Numerical Analysis. |2 bisacsh | |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t DG Plus eBook-Package 2017 |z 9783110719543 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE 2017 |z 9783110540550 |o ZDB-23-DGG |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE COMPLETE ENGLISH 2017 |z 9783110625264 |
773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2017 |z 9783110548204 |o ZDB-23-DMA |
776 | 0 | |c EPUB |z 9783110537628 | |
776 | 0 | |c print |z 9783110537550 | |
856 | 4 | 0 | |u https://doi.org/10.1515/9783110539264 |
856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110539264 |
856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/cover/covers/9783110539264.jpg |
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